[sourcery]

Are you referring to this article? If so, you should read it more carefully. The only requirement for anarchy is the absence of government, as you can see by checking the definition in the dictionary. The fact that some anarchists may also believe that property is evil has nothing intrinsically to do with ancharchism.

[weegee]

Actually I was referring to Anarchist Socialists as a political movement.

This was the primary link that I was referencing:

"PROPERTY IS THEFT"

Anarchists oppose private property (meaning land and means of production, in particular) and class distinctions based on wealth as innately and ultimately oppressive. Once you have established property rights, you will begin to have some people growing more powerful at the expense of their neighbors, as they acquire (by whatever means) more land. These people become the owning or ruling class.

States exist to ensure that property remains in private, and not public hands--note that even socialist states do this; in the place of private owners, you have party members.

Here is another link, to the writing "Property Is Theft" by Proudhon Proudhon's Writing - What Is Property? An Inquiry into the Principle of Right and of Government

...with a handy dandy link to the "Anarchy Archives" at the bottom. More leftist anarchist lit can be found at AK Press (thousands of books of extremist philosophy).